Показать сокращенную информацию
dc.contributor.author | Skvortsov E. | |
dc.contributor.author | Nikonenkova T. | |
dc.date.accessioned | 2020-01-15T21:45:45Z | |
dc.date.available | 2020-01-15T21:45:45Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 1066-369X | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/155717 | |
dc.description.abstract | © 2019, Allerton Press, Inc. The aim of this paper is to calculate some improper double integrals. We consider the plane deformation of an elastic half-space under the action of load applied to its surface. It is shown that a well-known expressions for one of the normal stresses can be represented in another form containing an improper triple integral with a logarithmic kernel. We give examples of calculating the triple integral for specific loads. As a result, we give the values of five improper double integrals expressed in terms of elementary functions. | |
dc.relation.ispartofseries | Russian Mathematics | |
dc.subject | boundary-value problem | |
dc.subject | improper double integral | |
dc.subject | Poisson equation | |
dc.title | Improper Double Integrals with a Logarithmic Kernel Calculated by Methods of Elasticity Theory | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 7 | |
dc.relation.ispartofseries-volume | 63 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 56 | |
dc.source.id | SCOPUS1066369X-2019-63-7-SID85070973449 |